Ratio & Proportion
0/10 problems solved
Formulas & 30-Second Shortcut Tricks
Formulas
- a : b = a/b; divide amount X in a : b ⇒ shares aX/(a+b), bX/(a+b)
- If a : b = p : q and b : c = r : s, a : b : c = pr : qr : qs
- Mean proportional of a and b = √(ab)
Shortcuts
- Think in parts: ratio 3 : 5 ⇒ 8 parts; one part = total/8.
- Combine ratios by making the common term equal (LCM).
Practice problems
Q1
₹800 is divided between A and B in the ratio 3 : 5. What is A's share (₹)?
Q2
If A : B = 5 : 6 and B : C = 3 : 4, find A : B : C.
Q3
Find the mean proportional between 4 and 16.
Q4
₹1200 is divided between A and B in the ratio 3 : 5. What is A's share (₹)?
Q5
If A : B = 1 : 2 and B : C = 3 : 4, find A : B : C.
Q6
Find the mean proportional between 16 and 9.
Q7
₹1000 is divided between A and B in the ratio 4 : 6. What is A's share (₹)?
Q8
If A : B = 1 : 2 and B : C = 3 : 4, find A : B : C.
Q9
Find the mean proportional between 4 and 25.
Q10
₹1650 is divided between A and B in the ratio 4 : 7. What is A's share (₹)?
Ratio & Proportion Speed Test
1 minute per question. Use the palette to jump around; you'll see time spent on every question at the end.